Geodesic
On a nonlocal problem for a confined plasma in a Tokamak
Applications of Mathematics, Tome 58 (2013) no. 6, pp. 609-642.

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The paper deals with a nonlocal problem related to the equilibrium of a confined plasma in a Tokamak machine. This problem involves terms $u'_{\ast }(|u>u(x)|)$ and $|u>u(x)|$, which are neither local, nor continuous, nor monotone. By using the Galerkin approximate method and establishing some properties of the decreasing rearrangement, we prove the existence of solutions to such problem.
DOI : 10.1007/s10492-013-0031-5
Classification : 35D99, 35M10, 35Q35
Keywords: nonlinear elliptic equation; relative rearrangement; Tokamak; decreasing rearrangement; plasma physics 
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Zou, Weilin; Li, Fengquan; Lv, Boqiang. On a nonlocal problem for a confined plasma in a Tokamak. Applications of Mathematics, Tome 58 (2013) no. 6, pp. 609-642. doi : 10.1007/s10492-013-0031-5. http://geodesic.mathdoc.fr/articles/10.1007/s10492-013-0031-5/

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